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Simplifying 8x + -15 = -5(3x + -2) + -2x Reorder the terms: -15 + 8x = -5(3x + -2) + -2x Reorder the terms: -15 + 8x = -5(-2 + 3x) + -2x -15 + 8x = (-2 * -5 + 3x * -5) + -2x -15 + 8x = (10 + -15x) + -2x Combine like terms: -15x + -2x = -17x -15 + 8x = 10 + -17x Solving -15 + 8x = 10 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -15 + 8x + 17x = 10 + -17x + 17x Combine like terms: 8x + 17x = 25x -15 + 25x = 10 + -17x + 17x Combine like terms: -17x + 17x = 0 -15 + 25x = 10 + 0 -15 + 25x = 10 Add '15' to each side of the equation. -15 + 15 + 25x = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 25x = 10 + 15 25x = 10 + 15 Combine like terms: 10 + 15 = 25 25x = 25 Divide each side by '25'. x = 1 Simplifying x = 1
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